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Applicable Analysis
An International Journal
Volume 74, 2000 - Issue 1-2
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Original Articles

Existence, uniqueness and boundedness results for impulsive delay differential equations

Gcorge Ballinger Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, N2L3G1, Canada
&
Xinzhi Liu Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, N2L3G1, Canada
Pages 71-93 | Received 01 Apr 1999, Published online: 02 May 2007
 
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Abstract

This paper considers general impulsive delay differential equations. By utilizing a non-classical approach, the theory of existence and uniqueness of solutions are developed. Criteria on boundedness of solutions are also established through the use of Lyapunov functionals.

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Related Research Data

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